Evanescent gravitons in Warped Anti-de Sitter space

TL;DR

This paper explores evanescent graviton solutions in Warped Anti-de Sitter space within three-dimensional massive gravity, showing they decay exponentially without carrying net energy, and generalizes previous solutions to more complex ghost-free models.

Contribution

It extends the known evanescent graviton solutions from Topologically Massive Gravity to a broader class of ghost-free massive deformations, accounting for higher-order corrections.

Findings

Evanescent graviton solutions decay exponentially in WAdS space.

These solutions do not carry net gravitational energy.

Higher-order terms modify the decay rate of solutions.

Abstract

Besides black holes, the phase space of three-dimensional massive gravity about Warped-Anti de Sitter (WAdS) space contains solutions that decay exponentially in time. They describe evanescent graviton configurations that, while governed by a wave equation with non-vanishing effective mass, do not carry net gravitational energy. Explicit examples of such solutions have been found in the case of Topologically Massive Gravity; here, we generalize them to a much more general ghost-free massive deformation, with the difference being that the decay rate gets corrected due to the presence of higher-order terms.